Compact High Order Accurate Schemes for the Three Dimensional Wave Equation

Author:

Smith F.,Tsynkov S.,Turkel E.

Funder

United States - Israel Binational Science Foundation

Army Research Office

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference29 articles.

1. Abide, S., Binous, M.S., Zeghmati, B.: An efficient parallel high-order compact scheme for the 3D incompressible Navier–Stokes equations. Int. J. Comput. Fluid Dyn. 31(4–5), 214–229 (2017). https://doi.org/10.1080/10618562.2017.1326592

2. Babuška, I.M., Sauter, S.A.: Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? SIAM Rev. 42(3), 451–484 (electronic) (2000). Reprint of SIAM J. Numer. Anal. 34 (1997), no. 6, 2392–2423 [MR1480387 (99b:65135)]

3. Bayliss, A., Goldstein, C.I., Turkel, E.: On accuracy conditions for the numerical computation of waves. J. Comput. Phys. 59(3), 396–404 (1985)

4. Bérenger, J.P.: Perfectly Matched Layer (PML) for Computational Electromagnetics. Synthesis Lectures on Computational Electromagnetics. Morgan and Claypool Publishers, San Rafael, CA (2007)

5. Brandt, A.: Rigorous quantitative analysis of multigrid. I. Constant coefficients two-level cycle with $$L_2$$-norm. SIAM J. Numer. Anal. 31(6), 1695–1730 (1994). https://doi.org/10.1137/0731087

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